Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10150945 | Fuzzy Sets and Systems | 2018 | 20 Pages |
Abstract
We present an efficient method for solving a singular, nÃn fuzzy linear system (FLS), AXË=YË, where the coefficient matrix A is a real matrix, singular or non-singular, using the block structure of the group inverse or any {1}-inverse. A characterization of the block structure of {1}-inverses, in particular, the group inverse, but also the Drazin inverse of the matrix associated to a square FLS is given. Based on the presented necessary and sufficient condition for the existence of a solution, the general solution of a square FLS is obtained. Finally, infinitely many solutions of a singular FLS are presented through many interesting examples.
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Biljana MihailoviÄ, Vera Miler JerkoviÄ, Branko MaleÅ¡eviÄ,